Preparing a course schedule is typically an exercise in fiction-writing. However, we hope to roughly follow this schedule:

Date |
Lecture |
Notes |
Assigned Reading |
---|---|---|---|

Week 1 |
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1/27 | Introduction and Basic Definitions | Notes | Section 1.1 |

1/29 | Initial Value Problems, Models | Sections 1.2, 1.3 | |

Week 2 |
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2/3 | First order differential equations | Notes | Section 2.1 |

2/5 | Seperable equations | Section 2.2 | |

Week 3 |
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2/10 | Linear Equations | Section 2.3 | |

2/12 | Exact Equations | Notes | Section 2.4 |

Week 4 |
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2/17 | Substitutions | Notes | Section 2.5 |

2/19 | Numerical Methods | Section 2.6 | |

Week 5 |
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2/24 | Linear Models | Section 3.1 | |

2/26 | Nonlinear Models and systems of First Order DEs | Section 3.2 and 3.3 | |

Week 6 |
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3/2 | Midterm | ||

3/4 | Nonlinear Models and systems of First Order DEs | Section 3.2 and 3.3 | |

Week 7 |
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3/9 | Preliminary Theory - Linear Higher Order DEs | Notes | Section 4.1 |

3/11 | CANCELLED | ||

Spring Break | |||

Week 8 | |||

3/23 | Review Linear Equations, Reduction of Order | Section 4.2 | |

3/25 | Homogeneous Linear Equations with Constant Coefficients | Section 4.3 | |

Week 9 | |||

3/30 | Undetermined Coefficients - Superposition Approach | Section 4.4 | |

4/1 | Variation of Parameters | Notes | Section 4.6 |

Week 10 | |||

4/6 | Cauchy-Euler Equation | Section 4.7 | |

4/8 | Systems of Linear DE's by elimination and Nonlinear DEs | Sections 4.9 and 4.10 | |

Week 11 | |||

4/13 | Modeling with Higher-Order DEs | Notes | Section 5.1 |

4/15 | Modeling with Higher-Order DEs | Sections 5.2 and 5.3 | |

Week 12 | |||

4/20 | Notes | ||

4/22 | Midterm Exam 2 | ||

Week 13 | |||

4/27 | Notes | ||

4/29 | Notes | ||

Week 14 | |||

5/4 | |||

5/6 | |||

Week 15 | |||

5/11 | |||

5/13 | Final Exam |